1 / 11

Maximums and Minimums

Maximums and Minimums. October 6, 2010. Objective. SWBAT find the max or min of a function using graphing calculator or algebra. Minimum and Maximums. Enter the equation in your calculator Look at the graph Decide if you are finding a max or min

hagop
Download Presentation

Maximums and Minimums

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Maximums and Minimums October 6, 2010

  2. Objective • SWBAT find the max or min of a function using graphing calculator or algebra

  3. Minimum and Maximums • Enter the equation in your calculator • Look at the graph • Decide if you are finding a max or min • If you can’t see a max or a min, change your window • Press y r and choose option 3:minimum or 4:maximum • Use the left and right arrow keys to determine the range the calculator should examine

  4. Homework Tip • If you don’t have a graphing calculator, the minimum or maximum can be computed using the following formula: • As long as the equation is of the form: y = ax2 + bx + c

  5. Example • f(x) = -x2 + 6x – 8  

  6. Example 2. y = -2(x – 1)2 + 2

  7. Example • A baseball is hit at a point 3 feet above the ground at a velocity of 100 feet per second and at an angle of 45o with respect to the ground. The path of the baseball is given by the function f(x) = -0.0032x2 + x + 3 where f(x) is the height of the baseball (in feet) and x is the horizontal distance from home plate (in feet). What is the maximum height reached by the baseball?

  8. Practice • f(x) = -(x2 + 2x – 3) • f(x) = -x2 – x + 30 • g(x) = x2 + 8x + 11 • f(x) = x2 + 10x + 14 • f(x) = 2x2 – 16x + 31 • f(x) = -4x2 + 24x – 41 • g(x) = 0.5(x2 + 4x – 2)

  9. Practice • Find the number of units sold that yields a maximum annual revenue for a sporting goods manufacturer. The total revenue R (in dollars) is given by R = 100x – 0.0002x2, where x is the number of units sold.

  10. Practice • A textile manufacturer has daily production costs of C = 100000 – 110x + 0.045x2, where C is the total cost (in dollars) and x is the number of units produced. How many units should be produced each day to yield a minimum cost?

  11. Practice • The path of a diver is where y is the height (in feet) and x is the horizontal distance from the end of the diving board (in feet). What is the maximum height of the diver?

More Related